Multiple choice

If the roots of the equation $ \displaystyle ax^{2}+bx+c=0 $ are reciprocal of each other , then

  1. a=b

  2. a=c

  3. b=c

  4. a=0
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B Correct answer
Explanation

If roots are reciprocals, their product is 1. For ax^2 + bx + c = 0, the product of roots is c/a. Thus, c/a = 1, which implies a = c.

AI explanation

If the roots of the quadratic equation ax^2 + bx + c = 0 are reciprocals of each other, their product must be 1. Using the relationship between roots and coefficients, the product of the roots is given by c/a. Setting c/a equal to 1 gives a = c.

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